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Finding the Fourth Proportional to 1,720.72, 2,584.40 and 1,474.48

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Solution

The fourth proportional to 1,720.72, 2,584.40 and 1,474.48 is: 2,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.72 : 2,584.40 = 1,474.48 : x
  2. Step 2: Convert to fraction form
    1,720.72/2,584.40 = 1,474.48/x
  3. Step 3: Cross multiply
    1,720.72x = 2,584.40 × 1,474.48
  4. Step 4: Simplify right side
    1,720.72x = 3,810,646.11
  5. Step 5: Solve for x
    x = 3,810,646.11/1,720.72
  6. Step 6: Final answer
    x = 2,214.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.